Search a number
-
+
42400 = 255253
BaseRepresentation
bin1010010110100000
32011011101
422112200
52324100
6524144
7234421
oct122640
964141
1042400
1129946
1220654
13163b7
1411648
15c86a
hexa5a0

42400 has 36 divisors (see below), whose sum is σ = 105462. Its totient is φ = 16640.

The previous prime is 42397. The next prime is 42403. The reversal of 42400 is 424.

It is an interprime number because it is at equal distance from previous prime (42397) and next prime (42403).

It can be written as a sum of positive squares in 3 ways, for example, as 35344 + 7056 = 188^2 + 84^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a zygodrome in base 4.

It is not an unprimeable number, because it can be changed into a prime (42403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 774 + ... + 826.

242400 is an apocalyptic number.

42400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52731).

42400 is an abundant number, since it is smaller than the sum of its proper divisors (63062).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42400 is a wasteful number, since it uses less digits than its factorization.

42400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 42400 is about 205.9126028197. The cubic root of 42400 is about 34.8702680253.

Adding to 42400 its reverse (424), we get a palindrome (42824).

Multiplying 42400 by its reverse (424), we get a square (17977600 = 42402).

42400 divided by its reverse (424) gives a square (100 = 102).

The spelling of 42400 in words is "forty-two thousand, four hundred", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 80 100 106 160 200 212 265 400 424 530 800 848 1060 1325 1696 2120 2650 4240 5300 8480 10600 21200 42400